The scale of cosmic homogeneity as a standard ruler

In this paper, we study the characteristic scale of transition to cosmic homogeneity of the universe, \(\mathcal{R}_H\), as a standard ruler, to constrain cosmological parameters on mock galaxy catalogues. We use mock galaxy catalogues that simulate the CMASS galaxy sample of the BOSS survey in the...

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Bibliographic Details
Published in:arXiv.org 2018-12
Main Authors: Ntelis, Pierros, Ealet, Anne, Escoffier, Stephanie, Hamilton, Jean-Christophe, Hawken, Adam James, Jean-Marc Le Goff, Rich, James, Tilquin, Andre
Format: Article
Language:English
Subjects:
Astronomical catalogs
Bias
Dependence
Galaxies
Homogeneity
Parameters
Position measurement
Red shift
Universe
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Summary:In this paper, we study the characteristic scale of transition to cosmic homogeneity of the universe, \(\mathcal{R}_H\), as a standard ruler, to constrain cosmological parameters on mock galaxy catalogues. We use mock galaxy catalogues that simulate the CMASS galaxy sample of the BOSS survey in the redshift range \(0.43 \leq z \leq 0.7\). In each redshift bin we obtain the homogeneity scale, defined as the scale at which the universe becomes homogeneous to \(1\%\), i.e. \(D_2(\mathcal{R}_H) = 2.97\). With a simple Fisher analysis, we find that the performance of measuring the cosmological parameters with either the position of the BAO peak or the homogeneity scale is comparable. We show that \(\mathcal{R}_H\) has a dependence on the galaxy bias. If the accuracy and precision of this bias is achieved to \(1\%\), as expected for future surveys, then \(\mathcal{R}_H\) is a competitive standard ruler.
ISSN:2331-8422
DOI:10.48550/arxiv.1810.09362